A114820 Indices of Fibonacci numbers with 11 prime factors when counted with multiplicity.

138, 140, 160, 190, 208, 222, 230, 250, 261, 285, 310, 318, 345, 351, 387, 388, 399, 402, 426, 469, 470, 483, 485, 488, 498, 507, 508, 518, 531, 534, 549, 568, 596, 598, 632, 656, 671, 678, 686, 688, 703, 715, 786, 788, 806, 808, 844, 872, 873, 874, 902

Offset: 1

Author

Shyam Sunder Gupta, Feb 19 2006

Keywords

• hard
• nonn

Examples

			a(1)=138 because the 138th Fibonacci number (i.e., 30960598847965113057878492344) consists of 11 prime factors (i.e., 2*2*2*137*139*461*691*829*18077*28657*1485571).
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..77
• Blair Kelly, Fibonacci and Lucas Factorizations.

Crossrefs

Column k=11 of A303215.

Programs

Mathematica

Select[Range[1000],PrimeOmega[Fibonacci[#]]==11&] (* Harvey P. Dale, Jan 09 2022 *)

PARI

n=1;while(n<320,if(bigomega(fibonacci(n))==11,print1(n,", "));n++)

Extensions

More terms from Ryan Propper, May 24 2006